TSTP Solution File: NUM617+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM617+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:34:27 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 53 ( 2 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 18 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSub) ).
fof(m__5106,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5106) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNATSet) ).
fof(m__5093,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5093) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4891) ).
fof(m__5195,hypothesis,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5195) ).
fof(m__5348,hypothesis,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5348) ).
fof(c_0_8,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_9,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk8_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk8_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])])]) ).
fof(c_0_10,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5106]) ).
cnf(c_0_13,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_14,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,hypothesis,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[m__5093]) ).
cnf(c_0_16,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_17,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_19,hypothesis,
aSubsetOf0(xP,xQ),
inference(split_conjunct,[status(thm)],[m__5195]) ).
cnf(c_0_20,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
~ aElementOf0(xx,xQ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,hypothesis,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_19]),c_0_20])]) ).
cnf(c_0_23,hypothesis,
aElementOf0(xx,xP),
inference(split_conjunct,[status(thm)],[m__5348]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM617+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 08:28:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.025 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 25
% 0.22/1.41 # Proof object clause steps : 14
% 0.22/1.41 # Proof object formula steps : 11
% 0.22/1.41 # Proof object conjectures : 6
% 0.22/1.41 # Proof object clause conjectures : 3
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 9
% 0.22/1.41 # Proof object initial formulas used : 8
% 0.22/1.41 # Proof object generating inferences : 5
% 0.22/1.41 # Proof object simplifying inferences : 8
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 114
% 0.22/1.41 # Removed by relevancy pruning/SinE : 13
% 0.22/1.41 # Initial clauses : 183
% 0.22/1.41 # Removed in clause preprocessing : 6
% 0.22/1.41 # Initial clauses in saturation : 177
% 0.22/1.41 # Processed clauses : 299
% 0.22/1.41 # ...of these trivial : 7
% 0.22/1.41 # ...subsumed : 39
% 0.22/1.41 # ...remaining for further processing : 253
% 0.22/1.41 # Other redundant clauses eliminated : 10
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 1
% 0.22/1.41 # Backward-rewritten : 9
% 0.22/1.41 # Generated clauses : 659
% 0.22/1.41 # ...of the previous two non-trivial : 606
% 0.22/1.41 # Contextual simplify-reflections : 16
% 0.22/1.41 # Paramodulations : 633
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 26
% 0.22/1.41 # Current number of processed clauses : 241
% 0.22/1.41 # Positive orientable unit clauses : 69
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 27
% 0.22/1.41 # Non-unit-clauses : 145
% 0.22/1.41 # Current number of unprocessed clauses: 476
% 0.22/1.41 # ...number of literals in the above : 2454
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 10
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 3665
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 912
% 0.22/1.41 # Non-unit clause-clause subsumptions : 18
% 0.22/1.41 # Unit Clause-clause subsumption calls : 1393
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 3
% 0.22/1.41 # BW rewrite match successes : 3
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 23453
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.049 s
% 0.22/1.41 # System time : 0.005 s
% 0.22/1.41 # Total time : 0.054 s
% 0.22/1.41 # Maximum resident set size: 4560 pages
%------------------------------------------------------------------------------